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Simplifying 2x + 8 = -32 + -6x Reorder the terms: 8 + 2x = -32 + -6x Solving 8 + 2x = -32 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + 2x + 6x = -32 + -6x + 6x Combine like terms: 2x + 6x = 8x 8 + 8x = -32 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 8x = -32 + 0 8 + 8x = -32 Add '-8' to each side of the equation. 8 + -8 + 8x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = -32 + -8 8x = -32 + -8 Combine like terms: -32 + -8 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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